Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304d |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-1.1528833417343E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 3 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4990653,-2876153230] |
[a1,a2,a3,a4,a6] |
j |
497201138718084700308/416986162374970711 |
j-invariant |
L |
0.84463756225804 |
L(r)(E,1)/r! |
Ω |
0.070386463577371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28152b1 56304f1 |
Quadratic twists by: -4 -3 |